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I once came across a novel which contains the following (verbatim) :

Laplace had once prepared a paper for the Academie, claiming that it would be possible to predict the outcome of a game of dice if one had precise knowledge of every factor, such as the weight of the die, the exact way in which the hand moved, the strength of that hand, and the force of each throw.

I have been writing a MATLAB code to reproduce the results of Verlets paper - Computer "experiments" on classical fluids, 1967.

Here is how I go about it:

- I initialize all the velocities (uniform distribution about [-1, 1])

- Initialize all positions  (NOT random allocations).

- I use Verlet's algorithm to update the positions.

I had prepared this document for a class project, the level is introductory and the selection of models is motivated by solder deformation, but I hope it is of some help. I have examined four models, proposed by Hart, Anand, Krempl and Busso. The document has 16 pages.

Thanks,

Dhruv

PS: This is a wonderful website!!! 

When you first start learning finite deformation plasticity, you will run into a plastic flow rate that can be derived from a flow potential such that 

whereis the Cauchy stress.  For an isotropic material with scalar internal variables, the plastic
flow potential can be assumed to have the form 

This work presents extended hypersingular integral equation (E-HIE) method to analyze the multiple interacting three-dimensional mixed-mode flaws problem in electromagnetothermoelastic coupled multiphase composites (EMTE-CMCs) under extended electro-magneto-thermo-elastic coupled loads through intricate theoretical analysis and numerical simulations.